ON THE TREATMENT OF CORNERS IN THE BOUNDARY ELEMENT METHOD

被引：42

作者：

GRAY, LJ

LUTZ, E

机构：

[1] BERGEN SCI CTR,N-5008 BERGEN,NORWAY

[2] OAK RIDGE NATL LAB,DIV ENGN PHYS & MATH,MATH SCI SECT,OAK RIDGE,TN 37831

[3] CORNELL UNIV,DEPT COMP SCI,ITHACA,NY 14853

[4] CORNELL UNIV,PROGRAM COMP GRAPH,ITHACA,NY 14853

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 32卷 / 03期

基金：

美国国家科学基金会;

关键词：

Boundary elements; corners; hypersingular integrals; Laplace equation;

D O I：

10.1016/0377-0427(90)90043-Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new technique for treating surface discontinuities within boundary element calculations is proposed. Multiple nodes are used to represent the geometry, and the necessary additional equations are obtained by differentiating the usual boundary element integral equation. In deriving expressions for the resulting singular integrals, it is found that constraints must be placed on the functional approximation at the discontinuity. An algorithm for incorporating these constraints is developed and numerical tests for an exactly solvable three-dimensional Laplace equation problem are presented. © 1990.

引用

页码：369 / 386

页数：18

共 19 条

[1]

AHMAD S, 1987, BOUNDARY ELEMENTS, V9, P291

[2]

Brebbia C.A., 1984, BOUNDARY ELEMENT TEC

[3]

BRUCH E, 1989, 1ST P EUR BOUND EL M

[4]

DEPAULA FA, 1987, BOUNDARY ELEMENT TEC, P163

[5] BOUNDARY ELEMENT METHOD FOR REGIONS WITH THIN INTERNAL CAVITIES [J].

GRAY, LJ .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1989, 6 (04) :180-184

[6] HYPERSINGULAR INTEGRALS IN BOUNDARY ELEMENT FRACTURE-ANALYSIS [J].

GRAY, LJ ;

MARTHA, LF ;

INGRAFFEA, AR .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1990, 29 (06) :1135-1158

[7]

GRAY LJ, 1989, BOUNDARY ELEMENTS, V11

[8]

GRAY LJ, UNPUB ENG ANAL

[9]

GRAY LJ, 1989, 1ST P EUR BOUND EL M

[10]

GRAY LJ, 1988, BOUNDARY ELEMENTS, V10, P441

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